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Probability of Incipient Spanning Clusters in Critical Square Bond Percolation

✍ Scribed by Shchur, Lev N.; Kosyakov, Sergey S.

Book ID
127217732
Publisher
World Scientific Publishing Company
Year
1997
Tongue
English
Weight
314 KB
Volume
08
Category
Article
ISSN
0129-1831

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In simulation studies in the physics literature, there is only one pair of graphs which have site and bond percolation critical probability estimates in the opposite order. We prove that this phenomenon does occur, by constructing an inΓΏnite collection of two-dimensional inΓΏnite graphs G(n) with the